Answer:
A). 
B). 
Step-by-step explanation:
A). 
To get the square root of the given expression we will convert it into the square form.
[Since 2×2 = 4 and
]
Therefore, 

B). 
Since, 
Therefore,
[Since 3² = 9 and (m⁷)² = m¹⁴]
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
12
Step-by-step explanation:
Use the pythagorean theorem (
). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c





Hi!
Put in the values for x and y.
(3 · 3 - 12)-(12 · 3 · 6 - 10)
Solve
(9 - 12)-(216 - 10)
-3 - 206
-209
The answer is -209
Hope this helps! :)